Vlad Yaskin
Department of Mathematics
University of Oklahoma
Phone: (405)325-1168
Email:

Book

• A.Koldobsky, V.Yaskin, The Interface between Convex Geometry and Harmonic Analysis, CBMS Regional Conference Series, 108, American Mathematical Society, Providence RI, 2008,107 pp.

Papers

• "Fourier transforms and the Funck-Hecke theorem in convex geometry" (with P.Goodey and M.Yaskina), submitted.

• "On strict inclusions in hierarchies of convex bodies", Proc. Amer. Math. Soc., accepted.

• "Modified Shephard's problem on projections of convex bodies", Israel J. Math., accepted.

• "Inequalities of the Kahane-Khinchin type and sections of $L_p$-balls", (with A.Koldobsky and A.Pajor), Studia Math. 184 (2008), 217-231.

• "The geometry of $L_0$" (with N.J.Kalton, A.Koldobsky and M.Yaskina), Canadian J. Math. 59 no. 5 (2007), 1029--1049.

• "A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space" , J. Geom. Anal. 16 (2006), no. 4, 735--745.

• "Centroid bodies and comparison of volumes" (with M.Yaskina), Indiana Univ. Math. J. 55 (2006), no. 3, 1175--1194.

• "The Busemann-Petty problem in hyperbolic and spherical spaces", Advances in Math. 203 (2006), no. 2, 537--553.

• "Modified Busemann-Petty problem on sections on convex bodies" (with A.Koldobsky and M.Yaskina), Israel J. Math. 154 (2006), 191--208.

• Totally geodesic submanifolds of surfaces with the revolution group $SO(2)\times SO(2)$, Kharkov University Vestnik, 475, (2000), 282--295. (Russian)

• Totally geodesic submanifolds of hypersurfaces of revolution in the Euclidean space, Mat. Fiz. Anal. Geom. 6 (1999), no 1/2, 182--188. (Russian)

  Other writings

• "A guide to Morgan and Shalen" (with S.Dostoglou and M.Yaskina).